Calculate the net force on an electron moving eastward at 6.00 x 106 m/s in a region with a northward magnetic field of 50.0 μT and a downward electric field of 100 N/C.

Here are the calculations for question 4.9:

4.9. Forces on an Electron in Earth's Environment

• Given:
  • Magnetic field, $B = 50.0\,\mu\text{T} = 50.0 \times 10^{-6}\,\text{T}$ (northward)
  • Electric field, $E = 100\,\text{N/C}$ (downward)
  • Velocity of electron, $v = 6.00 \times 10^6\,\text{m/s}$ (eastward)
  • Acceleration due to gravity, $g = 9.8\,\text{m/s}^2$